257887 ÷ 19 
The aim is to understand the frequency of 19 in 257887.

Advancing to step 1:
19 can be fit into 2 0 times, resulting in a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 19

Step 2:
19 can be fit into 25 1 times, resulting in a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 19 from 25 to get 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 19

Let's proceed to step 3:
19 goes into 67 3 times with a remainder of 10.
Put 3 as the next digit of the answer. 
Result so far: 13.0
The remainder is 10 after subtracting 57 from 67.
Grab the next digit (8) from the dividend, add it to 10, then carry on: 108 / 19

Step 4:
108 divided by 19 is 5 with a remainder of 13.
Record the quotient 5 as the next digit in the result. 
Result so far: 135.0
Subtracting 95 from 108 leaves us with 13.
Append the next digit (8) from the dividend to 13 and continue with: 138 / 19

Let's proceed to step 5:
When dividing 138 by 19, we get 7 with a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 1357.0
Subtract 133 from 138 to get 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 19

On to step 6:
19 goes into 57 3 times with a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 13573.0
The remainder is 0 after subtracting 57 from 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 7:
When dividing 0 by 19, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 13573.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 8:
When dividing 0 by 19, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 13573.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 13573.0 with a remainder of 0.0.